4474757802240 has 648 divisors, whose sum is σ = 17039794819320. Its totient is φ = 1083376926720.

The previous prime is 4474757802233. The next prime is 4474757802253. The reversal of 4474757802240 is 422087574744.

4474757802240 is a `hidden beast` number, since 4 + 4 + 7 + 4 + 7 + 578 + 0 + 22 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 74227912704 + 4400529889536 = 272448^2 + 2097744^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1412039376 + ... + 1412042544.

Almost surely, 2^{4474757802240} is an apocalyptic number.

4474757802240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4474757802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8519897409660).

4474757802240 is an abundant number, since it is smaller than the sum of its proper divisors (12565037017080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4474757802240 is a wasteful number, since it uses less digits than its factorization.

4474757802240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4231 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 14049280, while the sum is 54.

The spelling of 4474757802240 in words is "four trillion, four hundred seventy-four billion, seven hundred fifty-seven million, eight hundred two thousand, two hundred forty".